Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

作者：Wang Yanan; Zhou Yong; Alsaedi Ahmed; Hayat Tasawar; Jiang Zaihong^*

来源：Applied Mathematics Letters, 2014, 35: 18-23.

DOI：10.1016/j.aml.2014.03.014

• Liquid crystal model
• Fractional diffusion
• Global regularity

In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term -Lambda(2 alpha)u for the velocity field and -Lambda(2 beta)d for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case alpha = 0, beta %26gt; 1.

• 出版日期2014-9
• 单位浙江师范大学